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math.PR2006
General Tridiagonal Random Matrix Models, Limiting Distributions and Fluctuations
Ionel Popescu
In this paper we discuss general tridiagonal matrix models which are natural extensions of the ones given by Dumitriu and Edelman. We prove here the convergence of the distribution…
math.CA2006
Talagrand Inequality for the Semicircular Law and Energy of the Eigenvalues of Beta Ensembles
Ionel Popescu
We give a short proof of the free analogue of the Talagrand inequality for the transportation cost to the semicircular which was originally proved by Biane and Voiculescu. The proo…